To simplify the expression \( (9x^2 - 6x + 2) - (x^2 + 4x - 39) \), you can follow these steps:
- Distribute the negative sign across the second parenthesis:
\[ 9x^2 - 6x + 2 - x^2 - 4x + 39 \]
- Combine like terms:
- For \(x^2\) terms: \(9x^2 - x^2 = 8x^2\)
- For \(x\) terms: \(-6x - 4x = -10x\)
- For constant terms: \(2 + 39 = 41\)
So, combining all the terms gives:
\[ 8x^2 - 10x + 41 \]
Thus, the simplified expression is:
\[ \boxed{8x^2 - 10x + 41} \]
1 answer